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Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = −3+ cos(t), y2 = 1 + sin(t), y2 = 1 + sin(t), 0≤t≤ 2π.

Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = −3+ cos(t), y2 = 1 + sin(t), y2 = 1 + sin(t), 0≤t≤ 2π.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 105E
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How many points of intersection are there? points of intersection (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? Yes No If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE. (c) If the x-coordinate of the second particle is given by x₂ = 3 + cos(t) instead, is there still a collision? Yes No
Transcribed Image Text:How many points of intersection are there? points of intersection (b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? Yes No If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE. (c) If the x-coordinate of the second particle is given by x₂ = 3 + cos(t) instead, is there still a collision? Yes No
Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = -3 + cos(t), y2 = 1 + sin(t), Y2 = 1 + sin(t), 0≤t≤ 2π.
Transcribed Image Text:Suppose that the position of one particle at time t is given by X₁.3 sin(t), Y₁ = 2 cos(t), 0 ≤t≤ 2π and the position of a second particle is given by X2 = -3 + cos(t), y2 = 1 + sin(t), Y2 = 1 + sin(t), 0≤t≤ 2π.
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